This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Haya, tufanye hesabu za matriki. Kutokana na picha, tuna matriki A na B kama ifuatavyo: A = 10 & 6 \\ 5 & 1 B = 0 & -6 \\ -4 & 8 Tutatatua swali la kwanza: (1)/(2)A - 3B. Step 1: Pata (1)/(2)A. Zidisha kila kipengele cha matriki A kwa (1)/(2). (1)/(2)A = (1)/(2) 10 & 6 \\ 5 & 1 = (10)/(2) & (6)/(2) \\ (5)/(2) & (1)/(2) = 5 & 3 \\ (5)/(2) & (1)/(2) Step 2: Pata 3B. Zidisha kila kipengele cha matriki B kwa 3. 3B = 3 0 & -6 \\ -4 & 8 = 3 × 0 & 3 × (-6) \\ 3 × (-4) & 3 × 8 = 0 & -18 \\ -12 & 24 Step 3: Kokotoa (1)/(2)A - 3B. Toa vipengele vinavyolingana vya 3B kutoka (1)/(2)A. (1)/(2)A - 3B = 5 & 3 \\ (5)/(2) & (1)/(2) - 0 & -18 \\ -12 & 24 = 5 - 0 & 3 - (-18) \\ (5)/(2) - (-12) & (1)/(2) - 24 = 5 & 3 + 18 \\ (5)/(2) + (24)/(2) & (1)/(2) - (48)/(2) = 5 & 21 \\ (29)/(2) & -(47)/(2) Jibu la kwanza ni: 5 & 21 \\ (29)/(2) & -(47)/(2) Kwa maswali mengine (kama vile 2E - F, (1)/(3)F + E, 2A - B - C, na C - D), matriki C, D, E, na F hazionekani kikamilifu kwenye picha. Tafadhali tuma picha kamili ya matriki hizo ili niweze kuzitatua. That's 2 down. 3 left today — send the next one.